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Finding the Fourth Proportional to 6,144.71, 8,479.38 and 3,491.75

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Solution

The fourth proportional to 6,144.71, 8,479.38 and 3,491.75 is: 4,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.71 : 8,479.38 = 3,491.75 : x
  2. Step 2: Convert to fraction form
    6,144.71/8,479.38 = 3,491.75/x
  3. Step 3: Cross multiply
    6,144.71x = 8,479.38 × 3,491.75
  4. Step 4: Simplify right side
    6,144.71x = 29,607,875.12
  5. Step 5: Solve for x
    x = 29,607,875.12/6,144.71
  6. Step 6: Final answer
    x = 4,818.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.